# beacon_chain # Copyright (c) 2018 Status Research & Development GmbH # Licensed and distributed under either of # * MIT license (license terms in the root directory or at http://opensource.org/licenses/MIT). # * Apache v2 license (license terms in the root directory or at http://www.apache.org/licenses/LICENSE-2.0). # at your option. This file may not be copied, modified, or distributed except according to those terms. # Uncategorized helper functions from the spec import # Standard lib sequtils, math, endians, # Third-party blscurve, # defines Domain # Internal ./datatypes, ./digest # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#integer_squareroot func integer_squareroot*(n: SomeInteger): SomeInteger = # Return the largest integer ``x`` such that ``x**2 <= n``. doAssert n >= 0'u64 var x = n y = (x + 1) div 2 while y < x: x = y y = (x + n div x) div 2 x # TODO reuse as necessary/useful for merkle proof building func merkle_root*(values: openArray[Eth2Digest]): Eth2Digest = ## Merkleize ``values`` (where ``len(values)`` is a power of two) and return ## the Merkle root. ## https://crypto.stackexchange.com/questions/43430/what-is-the-reason-to-separate-domains-in-the-internal-hash-algorithm-of-a-merkl let num_values = len(values) # Simplifies boundary conditions doAssert is_power_of_two(num_values) doAssert num_values >= 2 doAssert num_values mod 2 == 0 # TODO reverse ``o`` order and use newSeqWith to avoid pointless zero-filling. var o = repeat(ZERO_HASH, len(values)) var hash_buffer: array[2*32, byte] # These ``o`` indices get filled from ``values``. let highest_internally_filled_index = (num_values div 2) - 1 doAssert (highest_internally_filled_index + 1) * 2 >= num_values for i in countdown(num_values-1, highest_internally_filled_index + 1): hash_buffer[0..31] = values[i*2 - num_values].data hash_buffer[32..63] = values[i*2+1 - num_values].data o[i] = eth2hash(hash_buffer) ## These ``o`` indices get filled from other ``o`` indices. doAssert highest_internally_filled_index * 2 + 1 < num_values for i in countdown(highest_internally_filled_index, 1): hash_buffer[0..31] = o[i*2].data hash_buffer[32..63] = o[i*2+1].data o[i] = eth2hash(hash_buffer) o[1] # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#compute_epoch_of_slot func compute_epoch_of_slot*(slot: Slot|uint64): Epoch = # Return the epoch number of the given ``slot``. (slot div SLOTS_PER_EPOCH).Epoch template epoch*(slot: Slot): Epoch = compute_epoch_of_slot(slot) # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#compute_start_slot_of_epoch func compute_start_slot_of_epoch*(epoch: Epoch): Slot = # Return the start slot of ``epoch``. (epoch * SLOTS_PER_EPOCH).Slot # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#is_active_validator func is_active_validator*(validator: Validator, epoch: Epoch): bool = ### Check if ``validator`` is active validator.activation_epoch <= epoch and epoch < validator.exit_epoch # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#get_active_validator_indices func get_active_validator_indices*(state: BeaconState, epoch: Epoch): seq[ValidatorIndex] = # Return the sequence of active validator indices at ``epoch``. for idx, val in state.validators: if is_active_validator(val, epoch): result.add idx.ValidatorIndex # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#get_committee_count func get_committee_count*(state: BeaconState, epoch: Epoch): uint64 = # Return the number of committees at ``epoch``. let active_validator_indices = get_active_validator_indices(state, epoch) let committees_per_slot = clamp( len(active_validator_indices) div SLOTS_PER_EPOCH div TARGET_COMMITTEE_SIZE, 1, SHARD_COUNT div SLOTS_PER_EPOCH).uint64 result = committees_per_slot * SLOTS_PER_EPOCH # Otherwise, get_crosslink_committee(...) cannot access some committees. doAssert SHARD_COUNT >= result # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#get_current_epoch func get_current_epoch*(state: BeaconState): Epoch = # Return the current epoch. doAssert state.slot >= GENESIS_SLOT, $state.slot compute_epoch_of_slot(state.slot) # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#get_randao_mix func get_randao_mix*(state: BeaconState, epoch: Epoch): Eth2Digest = ## Returns the randao mix at a recent ``epoch``. state.randao_mixes[epoch mod EPOCHS_PER_HISTORICAL_VECTOR] func bytes_to_int*(data: openarray[byte]): uint64 = doAssert data.len == 8 # Little-endian data representation result = 0 for i in countdown(7, 0): result = result * 256 + data[i] # Have 1, 4, 8, and 32-byte versions. 1+ more and maybe worth metaprogramming. func int_to_bytes32*(x: uint64): array[32, byte] = ## Little-endian data representation ## TODO remove uint64 when those callers fade away littleEndian64(result[0].addr, x.unsafeAddr) func int_to_bytes32*(x: Epoch): array[32, byte] {.borrow.} func int_to_bytes8*(x: uint64): array[8, byte] = littleEndian64(result[0].addr, x.unsafeAddr) func int_to_bytes1*(x: int): array[1, byte] = doAssert x >= 0 doAssert x < 256 result[0] = x.byte func int_to_bytes4*(x: uint64): array[4, byte] = doAssert x >= 0'u64 doAssert x < 2'u64^32 # Little-endian data representation result[0] = ((x shr 0) and 0xff).byte result[1] = ((x shr 8) and 0xff).byte result[2] = ((x shr 16) and 0xff).byte result[3] = ((x shr 24) and 0xff).byte # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#compute_domain func compute_domain*( domain_type: DomainType, fork_version: array[4, byte] = [0'u8, 0, 0, 0]): Domain = result[0..3] = int_to_bytes4(domain_type.uint64) result[4..7] = fork_version # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#get_domain func get_domain*( state: BeaconState, domain_type: DomainType, message_epoch: Epoch): Domain = ## Return the signature domain (fork version concatenated with domain type) ## of a message. let epoch = message_epoch fork_version = if epoch < state.fork.epoch: state.fork.previous_version else: state.fork.current_version compute_domain(domain_type, fork_version) func get_domain*(state: BeaconState, domain_type: DomainType): Domain = get_domain(state, domain_type, get_current_epoch(state)) # https://github.com/ethereum/eth2.0-specs/blob/v0.8.4/specs/core/0_beacon-chain.md#get_seed func get_seed*(state: BeaconState, epoch: Epoch): Eth2Digest = # Generate a seed for the given ``epoch``. var seed_input : array[32*3, byte] # Detect potential underflow doAssert EPOCHS_PER_HISTORICAL_VECTOR >= MIN_SEED_LOOKAHEAD seed_input[0..31] = get_randao_mix(state, epoch + EPOCHS_PER_HISTORICAL_VECTOR - MIN_SEED_LOOKAHEAD - 1).data seed_input[32..63] = state.active_index_roots[epoch mod EPOCHS_PER_HISTORICAL_VECTOR].data seed_input[64..95] = int_to_bytes32(epoch) eth2hash(seed_input)